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Finding the Fourth Proportional to 423.56, 632.56 and 355.14

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Solution

The fourth proportional to 423.56, 632.56 and 355.14 is: 530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.56 : 632.56 = 355.14 : x
  2. Step 2: Convert to fraction form
    423.56/632.56 = 355.14/x
  3. Step 3: Cross multiply
    423.56x = 632.56 × 355.14
  4. Step 4: Simplify right side
    423.56x = 224,644.20
  5. Step 5: Solve for x
    x = 224,644.20/423.56
  6. Step 6: Final answer
    x = 530.38

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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.