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Finding the Fourth Proportional to 64.50, 97.14 and 58.11

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Solution

The fourth proportional to 64.50, 97.14 and 58.11 is: 87.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.50 : 97.14 = 58.11 : x
  2. Step 2: Convert to fraction form
    64.50/97.14 = 58.11/x
  3. Step 3: Cross multiply
    64.50x = 97.14 × 58.11
  4. Step 4: Simplify right side
    64.50x = 5,644.81
  5. Step 5: Solve for x
    x = 5,644.81/64.50
  6. Step 6: Final answer
    x = 87.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.