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Finding the Fourth Proportional to 315.06, 469.40 and 299.55

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Solution

The fourth proportional to 315.06, 469.40 and 299.55 is: 446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.06 : 469.40 = 299.55 : x
  2. Step 2: Convert to fraction form
    315.06/469.40 = 299.55/x
  3. Step 3: Cross multiply
    315.06x = 469.40 × 299.55
  4. Step 4: Simplify right side
    315.06x = 140,608.77
  5. Step 5: Solve for x
    x = 140,608.77/315.06
  6. Step 6: Final answer
    x = 446.29

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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.