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Finding the Fourth Proportional to 356.98, 537.58 and 311.88

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Solution

The fourth proportional to 356.98, 537.58 and 311.88 is: 469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.98 : 537.58 = 311.88 : x
  2. Step 2: Convert to fraction form
    356.98/537.58 = 311.88/x
  3. Step 3: Cross multiply
    356.98x = 537.58 × 311.88
  4. Step 4: Simplify right side
    356.98x = 167,660.45
  5. Step 5: Solve for x
    x = 167,660.45/356.98
  6. Step 6: Final answer
    x = 469.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.