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Finding the Fourth Proportional to 40.32, 60.50 and 21.06

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Solution

The fourth proportional to 40.32, 60.50 and 21.06 is: 31.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.32 : 60.50 = 21.06 : x
  2. Step 2: Convert to fraction form
    40.32/60.50 = 21.06/x
  3. Step 3: Cross multiply
    40.32x = 60.50 × 21.06
  4. Step 4: Simplify right side
    40.32x = 1,274.02
  5. Step 5: Solve for x
    x = 1,274.02/40.32
  6. Step 6: Final answer
    x = 31.60

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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.