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Finding the Fourth Proportional to 358.45, 497.99 and 354.13

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Solution

The fourth proportional to 358.45, 497.99 and 354.13 is: 491.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.45 : 497.99 = 354.13 : x
  2. Step 2: Convert to fraction form
    358.45/497.99 = 354.13/x
  3. Step 3: Cross multiply
    358.45x = 497.99 × 354.13
  4. Step 4: Simplify right side
    358.45x = 176,352.84
  5. Step 5: Solve for x
    x = 176,352.84/358.45
  6. Step 6: Final answer
    x = 491.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.