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Finding the Fourth Proportional to 498.78, 688.32 and 302.16

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Solution

The fourth proportional to 498.78, 688.32 and 302.16 is: 416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.78 : 688.32 = 302.16 : x
  2. Step 2: Convert to fraction form
    498.78/688.32 = 302.16/x
  3. Step 3: Cross multiply
    498.78x = 688.32 × 302.16
  4. Step 4: Simplify right side
    498.78x = 207,982.77
  5. Step 5: Solve for x
    x = 207,982.77/498.78
  6. Step 6: Final answer
    x = 416.98

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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.