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Finding the Fourth Proportional to 315.06, 472.40 and 206.66

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Solution

The fourth proportional to 315.06, 472.40 and 206.66 is: 309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.06 : 472.40 = 206.66 : x
  2. Step 2: Convert to fraction form
    315.06/472.40 = 206.66/x
  3. Step 3: Cross multiply
    315.06x = 472.40 × 206.66
  4. Step 4: Simplify right side
    315.06x = 97,626.18
  5. Step 5: Solve for x
    x = 97,626.18/315.06
  6. Step 6: Final answer
    x = 309.87

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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.