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Finding the Fourth Proportional to 423.29, 583.95 and 265.81

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Solution

The fourth proportional to 423.29, 583.95 and 265.81 is: 366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.29 : 583.95 = 265.81 : x
  2. Step 2: Convert to fraction form
    423.29/583.95 = 265.81/x
  3. Step 3: Cross multiply
    423.29x = 583.95 × 265.81
  4. Step 4: Simplify right side
    423.29x = 155,219.75
  5. Step 5: Solve for x
    x = 155,219.75/423.29
  6. Step 6: Final answer
    x = 366.70

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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.