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Finding the Fourth Proportional to 358.98, 494.76 and 288.91

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Solution

The fourth proportional to 358.98, 494.76 and 288.91 is: 398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.98 : 494.76 = 288.91 : x
  2. Step 2: Convert to fraction form
    358.98/494.76 = 288.91/x
  3. Step 3: Cross multiply
    358.98x = 494.76 × 288.91
  4. Step 4: Simplify right side
    358.98x = 142,941.11
  5. Step 5: Solve for x
    x = 142,941.11/358.98
  6. Step 6: Final answer
    x = 398.19

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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.