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Finding the Fourth Proportional to 60.01, 90.16 and 52.31

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Solution

The fourth proportional to 60.01, 90.16 and 52.31 is: 78.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.01 : 90.16 = 52.31 : x
  2. Step 2: Convert to fraction form
    60.01/90.16 = 52.31/x
  3. Step 3: Cross multiply
    60.01x = 90.16 × 52.31
  4. Step 4: Simplify right side
    60.01x = 4,716.36
  5. Step 5: Solve for x
    x = 4,716.36/60.01
  6. Step 6: Final answer
    x = 78.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.