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Finding the Fourth Proportional to 59.30, 81.90 and 42.90

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Solution

The fourth proportional to 59.30, 81.90 and 42.90 is: 59.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.30 : 81.90 = 42.90 : x
  2. Step 2: Convert to fraction form
    59.30/81.90 = 42.90/x
  3. Step 3: Cross multiply
    59.30x = 81.90 × 42.90
  4. Step 4: Simplify right side
    59.30x = 3,513.10
  5. Step 5: Solve for x
    x = 3,513.10/59.30
  6. Step 6: Final answer
    x = 59.25

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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.