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Finding the Fourth Proportional to 420.64, 579.85 and 296.10

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Solution

The fourth proportional to 420.64, 579.85 and 296.10 is: 408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.64 : 579.85 = 296.10 : x
  2. Step 2: Convert to fraction form
    420.64/579.85 = 296.10/x
  3. Step 3: Cross multiply
    420.64x = 579.85 × 296.10
  4. Step 4: Simplify right side
    420.64x = 171,692.84
  5. Step 5: Solve for x
    x = 171,692.84/420.64
  6. Step 6: Final answer
    x = 408.17

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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.