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Finding the Fourth Proportional to 431, 595.34 and 366.20

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Solution

The fourth proportional to 431, 595.34 and 366.20 is: 505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431 : 595.34 = 366.20 : x
  2. Step 2: Convert to fraction form
    431/595.34 = 366.20/x
  3. Step 3: Cross multiply
    431x = 595.34 × 366.20
  4. Step 4: Simplify right side
    431x = 218,013.51
  5. Step 5: Solve for x
    x = 218,013.51/431
  6. Step 6: Final answer
    x = 505.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.