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Finding the Fourth Proportional to 350.99, 526.86 and 145.68

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Solution

The fourth proportional to 350.99, 526.86 and 145.68 is: 218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.99 : 526.86 = 145.68 : x
  2. Step 2: Convert to fraction form
    350.99/526.86 = 145.68/x
  3. Step 3: Cross multiply
    350.99x = 526.86 × 145.68
  4. Step 4: Simplify right side
    350.99x = 76,752.96
  5. Step 5: Solve for x
    x = 76,752.96/350.99
  6. Step 6: Final answer
    x = 218.68

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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.