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Finding the Fourth Proportional to 360.74, 497.13 and 257.06

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Solution

The fourth proportional to 360.74, 497.13 and 257.06 is: 354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.74 : 497.13 = 257.06 : x
  2. Step 2: Convert to fraction form
    360.74/497.13 = 257.06/x
  3. Step 3: Cross multiply
    360.74x = 497.13 × 257.06
  4. Step 4: Simplify right side
    360.74x = 127,792.24
  5. Step 5: Solve for x
    x = 127,792.24/360.74
  6. Step 6: Final answer
    x = 354.25

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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.