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Finding the Fourth Proportional to 294.52, 438.35 and 288.13

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Solution

The fourth proportional to 294.52, 438.35 and 288.13 is: 428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.52 : 438.35 = 288.13 : x
  2. Step 2: Convert to fraction form
    294.52/438.35 = 288.13/x
  3. Step 3: Cross multiply
    294.52x = 438.35 × 288.13
  4. Step 4: Simplify right side
    294.52x = 126,301.79
  5. Step 5: Solve for x
    x = 126,301.79/294.52
  6. Step 6: Final answer
    x = 428.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.