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Finding the Fourth Proportional to 56.54, 77.83 and 53.18

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Solution

The fourth proportional to 56.54, 77.83 and 53.18 is: 73.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.54 : 77.83 = 53.18 : x
  2. Step 2: Convert to fraction form
    56.54/77.83 = 53.18/x
  3. Step 3: Cross multiply
    56.54x = 77.83 × 53.18
  4. Step 4: Simplify right side
    56.54x = 4,139.00
  5. Step 5: Solve for x
    x = 4,139.00/56.54
  6. Step 6: Final answer
    x = 73.20

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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.