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Finding the Fourth Proportional to 291.60, 419.85 and 291.60

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Solution

The fourth proportional to 291.60, 419.85 and 291.60 is: 419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.60 : 419.85 = 291.60 : x
  2. Step 2: Convert to fraction form
    291.60/419.85 = 291.60/x
  3. Step 3: Cross multiply
    291.60x = 419.85 × 291.60
  4. Step 4: Simplify right side
    291.60x = 122,428.26
  5. Step 5: Solve for x
    x = 122,428.26/291.60
  6. Step 6: Final answer
    x = 419.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.