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Finding the Fourth Proportional to 401.35, 600.81 and 257.17

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Solution

The fourth proportional to 401.35, 600.81 and 257.17 is: 384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.35 : 600.81 = 257.17 : x
  2. Step 2: Convert to fraction form
    401.35/600.81 = 257.17/x
  3. Step 3: Cross multiply
    401.35x = 600.81 × 257.17
  4. Step 4: Simplify right side
    401.35x = 154,510.31
  5. Step 5: Solve for x
    x = 154,510.31/401.35
  6. Step 6: Final answer
    x = 384.98

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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.