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Finding the Fourth Proportional to 64.13, 88.45 and 43.40

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Solution

The fourth proportional to 64.13, 88.45 and 43.40 is: 59.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.13 : 88.45 = 43.40 : x
  2. Step 2: Convert to fraction form
    64.13/88.45 = 43.40/x
  3. Step 3: Cross multiply
    64.13x = 88.45 × 43.40
  4. Step 4: Simplify right side
    64.13x = 3,838.73
  5. Step 5: Solve for x
    x = 3,838.73/64.13
  6. Step 6: Final answer
    x = 59.86

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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.