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Finding the Fourth Proportional to 24.32, 36.66 and 21.35

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Solution

The fourth proportional to 24.32, 36.66 and 21.35 is: 32.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.32 : 36.66 = 21.35 : x
  2. Step 2: Convert to fraction form
    24.32/36.66 = 21.35/x
  3. Step 3: Cross multiply
    24.32x = 36.66 × 21.35
  4. Step 4: Simplify right side
    24.32x = 782.51
  5. Step 5: Solve for x
    x = 782.51/24.32
  6. Step 6: Final answer
    x = 32.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.