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Finding the Fourth Proportional to 328.35, 489.60 and 316.51

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Solution

The fourth proportional to 328.35, 489.60 and 316.51 is: 471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.35 : 489.60 = 316.51 : x
  2. Step 2: Convert to fraction form
    328.35/489.60 = 316.51/x
  3. Step 3: Cross multiply
    328.35x = 489.60 × 316.51
  4. Step 4: Simplify right side
    328.35x = 154,963.30
  5. Step 5: Solve for x
    x = 154,963.30/328.35
  6. Step 6: Final answer
    x = 471.95

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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.