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Finding the Fourth Proportional to 431.19, 643.30 and 366.66

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Solution

The fourth proportional to 431.19, 643.30 and 366.66 is: 547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.19 : 643.30 = 366.66 : x
  2. Step 2: Convert to fraction form
    431.19/643.30 = 366.66/x
  3. Step 3: Cross multiply
    431.19x = 643.30 × 366.66
  4. Step 4: Simplify right side
    431.19x = 235,871.46
  5. Step 5: Solve for x
    x = 235,871.46/431.19
  6. Step 6: Final answer
    x = 547.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.