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Finding the Fourth Proportional to 315.06, 469.39 and 299.57

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Solution

The fourth proportional to 315.06, 469.39 and 299.57 is: 446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.06 : 469.39 = 299.57 : x
  2. Step 2: Convert to fraction form
    315.06/469.39 = 299.57/x
  3. Step 3: Cross multiply
    315.06x = 469.39 × 299.57
  4. Step 4: Simplify right side
    315.06x = 140,612.82
  5. Step 5: Solve for x
    x = 140,612.82/315.06
  6. Step 6: Final answer
    x = 446.31

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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.