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Finding the Fourth Proportional to 362.14, 498.96 and 302.91

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Solution

The fourth proportional to 362.14, 498.96 and 302.91 is: 417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.14 : 498.96 = 302.91 : x
  2. Step 2: Convert to fraction form
    362.14/498.96 = 302.91/x
  3. Step 3: Cross multiply
    362.14x = 498.96 × 302.91
  4. Step 4: Simplify right side
    362.14x = 151,138.10
  5. Step 5: Solve for x
    x = 151,138.10/362.14
  6. Step 6: Final answer
    x = 417.35

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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.