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Finding the Fourth Proportional to 354.24, 530.92 and 257.07

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Solution

The fourth proportional to 354.24, 530.92 and 257.07 is: 385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.24 : 530.92 = 257.07 : x
  2. Step 2: Convert to fraction form
    354.24/530.92 = 257.07/x
  3. Step 3: Cross multiply
    354.24x = 530.92 × 257.07
  4. Step 4: Simplify right side
    354.24x = 136,482.32
  5. Step 5: Solve for x
    x = 136,482.32/354.24
  6. Step 6: Final answer
    x = 385.29

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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.