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Finding the Fourth Proportional to 64.16, 88.51 and 39.27

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Solution

The fourth proportional to 64.16, 88.51 and 39.27 is: 54.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.16 : 88.51 = 39.27 : x
  2. Step 2: Convert to fraction form
    64.16/88.51 = 39.27/x
  3. Step 3: Cross multiply
    64.16x = 88.51 × 39.27
  4. Step 4: Simplify right side
    64.16x = 3,475.79
  5. Step 5: Solve for x
    x = 3,475.79/64.16
  6. Step 6: Final answer
    x = 54.17

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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.