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Finding the Fourth Proportional to 603.36, 905.18 and 256.71

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Solution

The fourth proportional to 603.36, 905.18 and 256.71 is: 385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.36 : 905.18 = 256.71 : x
  2. Step 2: Convert to fraction form
    603.36/905.18 = 256.71/x
  3. Step 3: Cross multiply
    603.36x = 905.18 × 256.71
  4. Step 4: Simplify right side
    603.36x = 232,368.76
  5. Step 5: Solve for x
    x = 232,368.76/603.36
  6. Step 6: Final answer
    x = 385.12

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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.