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Finding the Fourth Proportional to 356.48, 492.12 and 252.08

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Solution

The fourth proportional to 356.48, 492.12 and 252.08 is: 348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.48 : 492.12 = 252.08 : x
  2. Step 2: Convert to fraction form
    356.48/492.12 = 252.08/x
  3. Step 3: Cross multiply
    356.48x = 492.12 × 252.08
  4. Step 4: Simplify right side
    356.48x = 124,053.61
  5. Step 5: Solve for x
    x = 124,053.61/356.48
  6. Step 6: Final answer
    x = 348.00

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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.