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Finding the Fourth Proportional to 32.32, 48.43 and 19.50

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Solution

The fourth proportional to 32.32, 48.43 and 19.50 is: 29.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.32 : 48.43 = 19.50 : x
  2. Step 2: Convert to fraction form
    32.32/48.43 = 19.50/x
  3. Step 3: Cross multiply
    32.32x = 48.43 × 19.50
  4. Step 4: Simplify right side
    32.32x = 944.14
  5. Step 5: Solve for x
    x = 944.14/32.32
  6. Step 6: Final answer
    x = 29.21

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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.