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Finding the Fourth Proportional to 315.01, 471.30 and 178.12

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Solution

The fourth proportional to 315.01, 471.30 and 178.12 is: 266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.01 : 471.30 = 178.12 : x
  2. Step 2: Convert to fraction form
    315.01/471.30 = 178.12/x
  3. Step 3: Cross multiply
    315.01x = 471.30 × 178.12
  4. Step 4: Simplify right side
    315.01x = 83,947.96
  5. Step 5: Solve for x
    x = 83,947.96/315.01
  6. Step 6: Final answer
    x = 266.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.