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Finding the Fourth Proportional to 39, 53.68 and 30.24

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Solution

The fourth proportional to 39, 53.68 and 30.24 is: 41.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39 : 53.68 = 30.24 : x
  2. Step 2: Convert to fraction form
    39/53.68 = 30.24/x
  3. Step 3: Cross multiply
    39x = 53.68 × 30.24
  4. Step 4: Simplify right side
    39x = 1,623.28
  5. Step 5: Solve for x
    x = 1,623.28/39
  6. Step 6: Final answer
    x = 41.62

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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.