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Finding the Fourth Proportional to 430.10, 644.24 and 265.18

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Solution

The fourth proportional to 430.10, 644.24 and 265.18 is: 397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.10 : 644.24 = 265.18 : x
  2. Step 2: Convert to fraction form
    430.10/644.24 = 265.18/x
  3. Step 3: Cross multiply
    430.10x = 644.24 × 265.18
  4. Step 4: Simplify right side
    430.10x = 170,839.56
  5. Step 5: Solve for x
    x = 170,839.56/430.10
  6. Step 6: Final answer
    x = 397.21

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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.