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Finding the Fourth Proportional to 401.20, 602.14 and 315.06

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Solution

The fourth proportional to 401.20, 602.14 and 315.06 is: 472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.20 : 602.14 = 315.06 : x
  2. Step 2: Convert to fraction form
    401.20/602.14 = 315.06/x
  3. Step 3: Cross multiply
    401.20x = 602.14 × 315.06
  4. Step 4: Simplify right side
    401.20x = 189,710.23
  5. Step 5: Solve for x
    x = 189,710.23/401.20
  6. Step 6: Final answer
    x = 472.86

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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.