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Finding the Fourth Proportional to 65.52, 90.30 and 43.38

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Solution

The fourth proportional to 65.52, 90.30 and 43.38 is: 59.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.52 : 90.30 = 43.38 : x
  2. Step 2: Convert to fraction form
    65.52/90.30 = 43.38/x
  3. Step 3: Cross multiply
    65.52x = 90.30 × 43.38
  4. Step 4: Simplify right side
    65.52x = 3,917.21
  5. Step 5: Solve for x
    x = 3,917.21/65.52
  6. Step 6: Final answer
    x = 59.79

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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.