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Finding the Fourth Proportional to 56.76, 78.14 and 53.14

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Solution

The fourth proportional to 56.76, 78.14 and 53.14 is: 73.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.76 : 78.14 = 53.14 : x
  2. Step 2: Convert to fraction form
    56.76/78.14 = 53.14/x
  3. Step 3: Cross multiply
    56.76x = 78.14 × 53.14
  4. Step 4: Simplify right side
    56.76x = 4,152.36
  5. Step 5: Solve for x
    x = 4,152.36/56.76
  6. Step 6: Final answer
    x = 73.16

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Find fourth proportional to 28.38, 39.07 and 26.57
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.