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Finding the Fourth Proportional to 363.51, 545.73 and 312.48

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Solution

The fourth proportional to 363.51, 545.73 and 312.48 is: 469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.51 : 545.73 = 312.48 : x
  2. Step 2: Convert to fraction form
    363.51/545.73 = 312.48/x
  3. Step 3: Cross multiply
    363.51x = 545.73 × 312.48
  4. Step 4: Simplify right side
    363.51x = 170,529.71
  5. Step 5: Solve for x
    x = 170,529.71/363.51
  6. Step 6: Final answer
    x = 469.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.