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Finding the Fourth Proportional to 350.48, 525.89 and 145.10

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Solution

The fourth proportional to 350.48, 525.89 and 145.10 is: 217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.48 : 525.89 = 145.10 : x
  2. Step 2: Convert to fraction form
    350.48/525.89 = 145.10/x
  3. Step 3: Cross multiply
    350.48x = 525.89 × 145.10
  4. Step 4: Simplify right side
    350.48x = 76,307.23
  5. Step 5: Solve for x
    x = 76,307.23/350.48
  6. Step 6: Final answer
    x = 217.73

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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.