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Finding the Fourth Proportional to 56.43, 83.97 and 56.16

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Solution

The fourth proportional to 56.43, 83.97 and 56.16 is: 83.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.43 : 83.97 = 56.16 : x
  2. Step 2: Convert to fraction form
    56.43/83.97 = 56.16/x
  3. Step 3: Cross multiply
    56.43x = 83.97 × 56.16
  4. Step 4: Simplify right side
    56.43x = 4,715.76
  5. Step 5: Solve for x
    x = 4,715.76/56.43
  6. Step 6: Final answer
    x = 83.57

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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.