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Finding the Fourth Proportional to 366.05, 502.68 and 313.59

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Solution

The fourth proportional to 366.05, 502.68 and 313.59 is: 430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.05 : 502.68 = 313.59 : x
  2. Step 2: Convert to fraction form
    366.05/502.68 = 313.59/x
  3. Step 3: Cross multiply
    366.05x = 502.68 × 313.59
  4. Step 4: Simplify right side
    366.05x = 157,635.42
  5. Step 5: Solve for x
    x = 157,635.42/366.05
  6. Step 6: Final answer
    x = 430.64

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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.