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Finding the Fourth Proportional to 423.16, 583.90 and 257.38

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Solution

The fourth proportional to 423.16, 583.90 and 257.38 is: 355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.16 : 583.90 = 257.38 : x
  2. Step 2: Convert to fraction form
    423.16/583.90 = 257.38/x
  3. Step 3: Cross multiply
    423.16x = 583.90 × 257.38
  4. Step 4: Simplify right side
    423.16x = 150,284.18
  5. Step 5: Solve for x
    x = 150,284.18/423.16
  6. Step 6: Final answer
    x = 355.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.