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Finding the Fourth Proportional to 350.88, 526.86 and 312.72

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Solution

The fourth proportional to 350.88, 526.86 and 312.72 is: 469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.88 : 526.86 = 312.72 : x
  2. Step 2: Convert to fraction form
    350.88/526.86 = 312.72/x
  3. Step 3: Cross multiply
    350.88x = 526.86 × 312.72
  4. Step 4: Simplify right side
    350.88x = 164,759.66
  5. Step 5: Solve for x
    x = 164,759.66/350.88
  6. Step 6: Final answer
    x = 469.56

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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.