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Finding the Fourth Proportional to 315.07, 469.99 and 268.90

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Solution

The fourth proportional to 315.07, 469.99 and 268.90 is: 401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.07 : 469.99 = 268.90 : x
  2. Step 2: Convert to fraction form
    315.07/469.99 = 268.90/x
  3. Step 3: Cross multiply
    315.07x = 469.99 × 268.90
  4. Step 4: Simplify right side
    315.07x = 126,377.96
  5. Step 5: Solve for x
    x = 126,377.96/315.07
  6. Step 6: Final answer
    x = 401.12

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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.