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Finding the Fourth Proportional to 30.69, 42.40 and 24.16

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Solution

The fourth proportional to 30.69, 42.40 and 24.16 is: 33.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.69 : 42.40 = 24.16 : x
  2. Step 2: Convert to fraction form
    30.69/42.40 = 24.16/x
  3. Step 3: Cross multiply
    30.69x = 42.40 × 24.16
  4. Step 4: Simplify right side
    30.69x = 1,024.38
  5. Step 5: Solve for x
    x = 1,024.38/30.69
  6. Step 6: Final answer
    x = 33.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.