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Finding the Fourth Proportional to 66.47, 99.50 and 56.35

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Solution

The fourth proportional to 66.47, 99.50 and 56.35 is: 84.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.47 : 99.50 = 56.35 : x
  2. Step 2: Convert to fraction form
    66.47/99.50 = 56.35/x
  3. Step 3: Cross multiply
    66.47x = 99.50 × 56.35
  4. Step 4: Simplify right side
    66.47x = 5,606.72
  5. Step 5: Solve for x
    x = 5,606.72/66.47
  6. Step 6: Final answer
    x = 84.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.