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Finding the Fourth Proportional to 354.68, 487.49 and 312.98

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Solution

The fourth proportional to 354.68, 487.49 and 312.98 is: 430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.68 : 487.49 = 312.98 : x
  2. Step 2: Convert to fraction form
    354.68/487.49 = 312.98/x
  3. Step 3: Cross multiply
    354.68x = 487.49 × 312.98
  4. Step 4: Simplify right side
    354.68x = 152,573.36
  5. Step 5: Solve for x
    x = 152,573.36/354.68
  6. Step 6: Final answer
    x = 430.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.