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Finding the Fourth Proportional to 345.22, 517.32 and 183.02

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Solution

The fourth proportional to 345.22, 517.32 and 183.02 is: 274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.22 : 517.32 = 183.02 : x
  2. Step 2: Convert to fraction form
    345.22/517.32 = 183.02/x
  3. Step 3: Cross multiply
    345.22x = 517.32 × 183.02
  4. Step 4: Simplify right side
    345.22x = 94,677.32
  5. Step 5: Solve for x
    x = 94,677.32/345.22
  6. Step 6: Final answer
    x = 274.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.