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Finding the Fourth Proportional to 423.06, 583.68 and 291.84

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Solution

The fourth proportional to 423.06, 583.68 and 291.84 is: 402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.06 : 583.68 = 291.84 : x
  2. Step 2: Convert to fraction form
    423.06/583.68 = 291.84/x
  3. Step 3: Cross multiply
    423.06x = 583.68 × 291.84
  4. Step 4: Simplify right side
    423.06x = 170,341.17
  5. Step 5: Solve for x
    x = 170,341.17/423.06
  6. Step 6: Final answer
    x = 402.64

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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.