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Finding the Fourth Proportional to 315.38, 469.90 and 297.69

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Solution

The fourth proportional to 315.38, 469.90 and 297.69 is: 443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.38 : 469.90 = 297.69 : x
  2. Step 2: Convert to fraction form
    315.38/469.90 = 297.69/x
  3. Step 3: Cross multiply
    315.38x = 469.90 × 297.69
  4. Step 4: Simplify right side
    315.38x = 139,884.96
  5. Step 5: Solve for x
    x = 139,884.96/315.38
  6. Step 6: Final answer
    x = 443.55

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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.