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Finding the Fourth Proportional to 329.61, 491.47 and 317.76

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Solution

The fourth proportional to 329.61, 491.47 and 317.76 is: 473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.61 : 491.47 = 317.76 : x
  2. Step 2: Convert to fraction form
    329.61/491.47 = 317.76/x
  3. Step 3: Cross multiply
    329.61x = 491.47 × 317.76
  4. Step 4: Simplify right side
    329.61x = 156,169.51
  5. Step 5: Solve for x
    x = 156,169.51/329.61
  6. Step 6: Final answer
    x = 473.80

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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.