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Finding the Fourth Proportional to 400.35, 599.31 and 256.17

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Solution

The fourth proportional to 400.35, 599.31 and 256.17 is: 383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.35 : 599.31 = 256.17 : x
  2. Step 2: Convert to fraction form
    400.35/599.31 = 256.17/x
  3. Step 3: Cross multiply
    400.35x = 599.31 × 256.17
  4. Step 4: Simplify right side
    400.35x = 153,525.24
  5. Step 5: Solve for x
    x = 153,525.24/400.35
  6. Step 6: Final answer
    x = 383.48

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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.