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Finding the Fourth Proportional to 35.40, 53.32 and 32.48

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Solution

The fourth proportional to 35.40, 53.32 and 32.48 is: 48.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.40 : 53.32 = 32.48 : x
  2. Step 2: Convert to fraction form
    35.40/53.32 = 32.48/x
  3. Step 3: Cross multiply
    35.40x = 53.32 × 32.48
  4. Step 4: Simplify right side
    35.40x = 1,731.83
  5. Step 5: Solve for x
    x = 1,731.83/35.40
  6. Step 6: Final answer
    x = 48.92

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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.