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Finding the Fourth Proportional to 345.90, 519.03 and 172.50

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Solution

The fourth proportional to 345.90, 519.03 and 172.50 is: 258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.90 : 519.03 = 172.50 : x
  2. Step 2: Convert to fraction form
    345.90/519.03 = 172.50/x
  3. Step 3: Cross multiply
    345.90x = 519.03 × 172.50
  4. Step 4: Simplify right side
    345.90x = 89,532.68
  5. Step 5: Solve for x
    x = 89,532.68/345.90
  6. Step 6: Final answer
    x = 258.84

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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.