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Finding the Fourth Proportional to 603.75, 905.31 and 256.71

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Solution

The fourth proportional to 603.75, 905.31 and 256.71 is: 384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.75 : 905.31 = 256.71 : x
  2. Step 2: Convert to fraction form
    603.75/905.31 = 256.71/x
  3. Step 3: Cross multiply
    603.75x = 905.31 × 256.71
  4. Step 4: Simplify right side
    603.75x = 232,402.13
  5. Step 5: Solve for x
    x = 232,402.13/603.75
  6. Step 6: Final answer
    x = 384.93

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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.