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Finding the Fourth Proportional to 316.90, 472.51 and 314.07

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Solution

The fourth proportional to 316.90, 472.51 and 314.07 is: 468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.90 : 472.51 = 314.07 : x
  2. Step 2: Convert to fraction form
    316.90/472.51 = 314.07/x
  3. Step 3: Cross multiply
    316.90x = 472.51 × 314.07
  4. Step 4: Simplify right side
    316.90x = 148,401.22
  5. Step 5: Solve for x
    x = 148,401.22/316.90
  6. Step 6: Final answer
    x = 468.29

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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.