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Finding the Fourth Proportional to 356.88, 492.84 and 259.16

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Solution

The fourth proportional to 356.88, 492.84 and 259.16 is: 357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.88 : 492.84 = 259.16 : x
  2. Step 2: Convert to fraction form
    356.88/492.84 = 259.16/x
  3. Step 3: Cross multiply
    356.88x = 492.84 × 259.16
  4. Step 4: Simplify right side
    356.88x = 127,721.95
  5. Step 5: Solve for x
    x = 127,721.95/356.88
  6. Step 6: Final answer
    x = 357.88

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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.