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Finding the Fourth Proportional to 345.01, 517.53 and 152.50

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Solution

The fourth proportional to 345.01, 517.53 and 152.50 is: 228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.01 : 517.53 = 152.50 : x
  2. Step 2: Convert to fraction form
    345.01/517.53 = 152.50/x
  3. Step 3: Cross multiply
    345.01x = 517.53 × 152.50
  4. Step 4: Simplify right side
    345.01x = 78,923.33
  5. Step 5: Solve for x
    x = 78,923.33/345.01
  6. Step 6: Final answer
    x = 228.76

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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.