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Finding the Fourth Proportional to 56.69, 84.63 and 40.29

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Solution

The fourth proportional to 56.69, 84.63 and 40.29 is: 60.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.69 : 84.63 = 40.29 : x
  2. Step 2: Convert to fraction form
    56.69/84.63 = 40.29/x
  3. Step 3: Cross multiply
    56.69x = 84.63 × 40.29
  4. Step 4: Simplify right side
    56.69x = 3,409.74
  5. Step 5: Solve for x
    x = 3,409.74/56.69
  6. Step 6: Final answer
    x = 60.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.