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Finding the Fourth Proportional to 42.95, 64.17 and 32.01

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Solution

The fourth proportional to 42.95, 64.17 and 32.01 is: 47.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.95 : 64.17 = 32.01 : x
  2. Step 2: Convert to fraction form
    42.95/64.17 = 32.01/x
  3. Step 3: Cross multiply
    42.95x = 64.17 × 32.01
  4. Step 4: Simplify right side
    42.95x = 2,054.08
  5. Step 5: Solve for x
    x = 2,054.08/42.95
  6. Step 6: Final answer
    x = 47.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.