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Finding the Fourth Proportional to 602.80, 904.31 and 256.13

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Solution

The fourth proportional to 602.80, 904.31 and 256.13 is: 384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.80 : 904.31 = 256.13 : x
  2. Step 2: Convert to fraction form
    602.80/904.31 = 256.13/x
  3. Step 3: Cross multiply
    602.80x = 904.31 × 256.13
  4. Step 4: Simplify right side
    602.80x = 231,620.92
  5. Step 5: Solve for x
    x = 231,620.92/602.80
  6. Step 6: Final answer
    x = 384.24

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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.