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Finding the Fourth Proportional to 462.60, 638.23 and 288.04

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Solution

The fourth proportional to 462.60, 638.23 and 288.04 is: 397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.60 : 638.23 = 288.04 : x
  2. Step 2: Convert to fraction form
    462.60/638.23 = 288.04/x
  3. Step 3: Cross multiply
    462.60x = 638.23 × 288.04
  4. Step 4: Simplify right side
    462.60x = 183,835.77
  5. Step 5: Solve for x
    x = 183,835.77/462.60
  6. Step 6: Final answer
    x = 397.40

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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.