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Finding the Fourth Proportional to 60.23, 90.35 and 21.71

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Solution

The fourth proportional to 60.23, 90.35 and 21.71 is: 32.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.23 : 90.35 = 21.71 : x
  2. Step 2: Convert to fraction form
    60.23/90.35 = 21.71/x
  3. Step 3: Cross multiply
    60.23x = 90.35 × 21.71
  4. Step 4: Simplify right side
    60.23x = 1,961.50
  5. Step 5: Solve for x
    x = 1,961.50/60.23
  6. Step 6: Final answer
    x = 32.57

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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.