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Finding the Fourth Proportional to 42.83, 64.02 and 35.16

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Solution

The fourth proportional to 42.83, 64.02 and 35.16 is: 52.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.83 : 64.02 = 35.16 : x
  2. Step 2: Convert to fraction form
    42.83/64.02 = 35.16/x
  3. Step 3: Cross multiply
    42.83x = 64.02 × 35.16
  4. Step 4: Simplify right side
    42.83x = 2,250.72
  5. Step 5: Solve for x
    x = 2,250.72/42.83
  6. Step 6: Final answer
    x = 52.55

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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.