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Finding the Fourth Proportional to 350.74, 526.09 and 188.74

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Solution

The fourth proportional to 350.74, 526.09 and 188.74 is: 283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.74 : 526.09 = 188.74 : x
  2. Step 2: Convert to fraction form
    350.74/526.09 = 188.74/x
  3. Step 3: Cross multiply
    350.74x = 526.09 × 188.74
  4. Step 4: Simplify right side
    350.74x = 99,294.23
  5. Step 5: Solve for x
    x = 99,294.23/350.74
  6. Step 6: Final answer
    x = 283.10

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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.