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Finding the Fourth Proportional to 328.84, 490.52 and 317.88

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Solution

The fourth proportional to 328.84, 490.52 and 317.88 is: 474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.84 : 490.52 = 317.88 : x
  2. Step 2: Convert to fraction form
    328.84/490.52 = 317.88/x
  3. Step 3: Cross multiply
    328.84x = 490.52 × 317.88
  4. Step 4: Simplify right side
    328.84x = 155,926.50
  5. Step 5: Solve for x
    x = 155,926.50/328.84
  6. Step 6: Final answer
    x = 474.17

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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.