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Finding the Fourth Proportional to 345.58, 517.95 and 172.19

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Solution

The fourth proportional to 345.58, 517.95 and 172.19 is: 258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.58 : 517.95 = 172.19 : x
  2. Step 2: Convert to fraction form
    345.58/517.95 = 172.19/x
  3. Step 3: Cross multiply
    345.58x = 517.95 × 172.19
  4. Step 4: Simplify right side
    345.58x = 89,185.81
  5. Step 5: Solve for x
    x = 89,185.81/345.58
  6. Step 6: Final answer
    x = 258.08

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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.