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Finding the Fourth Proportional to 423.02, 583.20 and 275.40

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Solution

The fourth proportional to 423.02, 583.20 and 275.40 is: 379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.02 : 583.20 = 275.40 : x
  2. Step 2: Convert to fraction form
    423.02/583.20 = 275.40/x
  3. Step 3: Cross multiply
    423.02x = 583.20 × 275.40
  4. Step 4: Simplify right side
    423.02x = 160,613.28
  5. Step 5: Solve for x
    x = 160,613.28/423.02
  6. Step 6: Final answer
    x = 379.68

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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.