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Finding the Fourth Proportional to 430.47, 594.20 and 255.81

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Solution

The fourth proportional to 430.47, 594.20 and 255.81 is: 353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.47 : 594.20 = 255.81 : x
  2. Step 2: Convert to fraction form
    430.47/594.20 = 255.81/x
  3. Step 3: Cross multiply
    430.47x = 594.20 × 255.81
  4. Step 4: Simplify right side
    430.47x = 152,002.30
  5. Step 5: Solve for x
    x = 152,002.30/430.47
  6. Step 6: Final answer
    x = 353.11

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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.