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Finding the Fourth Proportional to 388.56, 535.96 and 314.76

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Solution

The fourth proportional to 388.56, 535.96 and 314.76 is: 434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.56 : 535.96 = 314.76 : x
  2. Step 2: Convert to fraction form
    388.56/535.96 = 314.76/x
  3. Step 3: Cross multiply
    388.56x = 535.96 × 314.76
  4. Step 4: Simplify right side
    388.56x = 168,698.77
  5. Step 5: Solve for x
    x = 168,698.77/388.56
  6. Step 6: Final answer
    x = 434.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.