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Finding the Fourth Proportional to 380.98, 526.07 and 233.70

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Solution

The fourth proportional to 380.98, 526.07 and 233.70 is: 322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.98 : 526.07 = 233.70 : x
  2. Step 2: Convert to fraction form
    380.98/526.07 = 233.70/x
  3. Step 3: Cross multiply
    380.98x = 526.07 × 233.70
  4. Step 4: Simplify right side
    380.98x = 122,938.76
  5. Step 5: Solve for x
    x = 122,938.76/380.98
  6. Step 6: Final answer
    x = 322.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.