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Finding the Fourth Proportional to 328.74, 493.17 and 282.96

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Solution

The fourth proportional to 328.74, 493.17 and 282.96 is: 424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.74 : 493.17 = 282.96 : x
  2. Step 2: Convert to fraction form
    328.74/493.17 = 282.96/x
  3. Step 3: Cross multiply
    328.74x = 493.17 × 282.96
  4. Step 4: Simplify right side
    328.74x = 139,547.38
  5. Step 5: Solve for x
    x = 139,547.38/328.74
  6. Step 6: Final answer
    x = 424.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.