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Finding the Fourth Proportional to 328.52, 489.88 and 283.16

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Solution

The fourth proportional to 328.52, 489.88 and 283.16 is: 422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.52 : 489.88 = 283.16 : x
  2. Step 2: Convert to fraction form
    328.52/489.88 = 283.16/x
  3. Step 3: Cross multiply
    328.52x = 489.88 × 283.16
  4. Step 4: Simplify right side
    328.52x = 138,714.42
  5. Step 5: Solve for x
    x = 138,714.42/328.52
  6. Step 6: Final answer
    x = 422.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.