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Finding the Fourth Proportional to 315.33, 470.86 and 257.66

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Solution

The fourth proportional to 315.33, 470.86 and 257.66 is: 384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.33 : 470.86 = 257.66 : x
  2. Step 2: Convert to fraction form
    315.33/470.86 = 257.66/x
  3. Step 3: Cross multiply
    315.33x = 470.86 × 257.66
  4. Step 4: Simplify right side
    315.33x = 121,321.79
  5. Step 5: Solve for x
    x = 121,321.79/315.33
  6. Step 6: Final answer
    x = 384.75

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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.