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Finding the Fourth Proportional to 320.01, 476.58 and 314.48

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Solution

The fourth proportional to 320.01, 476.58 and 314.48 is: 468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.01 : 476.58 = 314.48 : x
  2. Step 2: Convert to fraction form
    320.01/476.58 = 314.48/x
  3. Step 3: Cross multiply
    320.01x = 476.58 × 314.48
  4. Step 4: Simplify right side
    320.01x = 149,872.50
  5. Step 5: Solve for x
    x = 149,872.50/320.01
  6. Step 6: Final answer
    x = 468.34

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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.