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Finding the Fourth Proportional to 345.64, 515.52 and 294.60

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Solution

The fourth proportional to 345.64, 515.52 and 294.60 is: 439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.64 : 515.52 = 294.60 : x
  2. Step 2: Convert to fraction form
    345.64/515.52 = 294.60/x
  3. Step 3: Cross multiply
    345.64x = 515.52 × 294.60
  4. Step 4: Simplify right side
    345.64x = 151,872.19
  5. Step 5: Solve for x
    x = 151,872.19/345.64
  6. Step 6: Final answer
    x = 439.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.