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Finding the Fourth Proportional to 291.30, 421.58 and 291.30

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Solution

The fourth proportional to 291.30, 421.58 and 291.30 is: 421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.30 : 421.58 = 291.30 : x
  2. Step 2: Convert to fraction form
    291.30/421.58 = 291.30/x
  3. Step 3: Cross multiply
    291.30x = 421.58 × 291.30
  4. Step 4: Simplify right side
    291.30x = 122,804.80
  5. Step 5: Solve for x
    x = 122,804.80/291.30
  6. Step 6: Final answer
    x = 421.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.