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Finding the Fourth Proportional to 64.71, 88.42 and 64.34

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Solution

The fourth proportional to 64.71, 88.42 and 64.34 is: 87.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.71 : 88.42 = 64.34 : x
  2. Step 2: Convert to fraction form
    64.71/88.42 = 64.34/x
  3. Step 3: Cross multiply
    64.71x = 88.42 × 64.34
  4. Step 4: Simplify right side
    64.71x = 5,688.94
  5. Step 5: Solve for x
    x = 5,688.94/64.71
  6. Step 6: Final answer
    x = 87.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.