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Finding the Fourth Proportional to 602.65, 904.20 and 237.69

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Solution

The fourth proportional to 602.65, 904.20 and 237.69 is: 356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.65 : 904.20 = 237.69 : x
  2. Step 2: Convert to fraction form
    602.65/904.20 = 237.69/x
  3. Step 3: Cross multiply
    602.65x = 904.20 × 237.69
  4. Step 4: Simplify right side
    602.65x = 214,919.30
  5. Step 5: Solve for x
    x = 214,919.30/602.65
  6. Step 6: Final answer
    x = 356.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.