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Finding the Fourth Proportional to 420.10, 579.45 and 296.02

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Solution

The fourth proportional to 420.10, 579.45 and 296.02 is: 408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.10 : 579.45 = 296.02 : x
  2. Step 2: Convert to fraction form
    420.10/579.45 = 296.02/x
  3. Step 3: Cross multiply
    420.10x = 579.45 × 296.02
  4. Step 4: Simplify right side
    420.10x = 171,528.79
  5. Step 5: Solve for x
    x = 171,528.79/420.10
  6. Step 6: Final answer
    x = 408.30

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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.