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Finding the Fourth Proportional to 357.98, 539.09 and 312.88

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Solution

The fourth proportional to 357.98, 539.09 and 312.88 is: 471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.98 : 539.09 = 312.88 : x
  2. Step 2: Convert to fraction form
    357.98/539.09 = 312.88/x
  3. Step 3: Cross multiply
    357.98x = 539.09 × 312.88
  4. Step 4: Simplify right side
    357.98x = 168,670.48
  5. Step 5: Solve for x
    x = 168,670.48/357.98
  6. Step 6: Final answer
    x = 471.17

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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.