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Finding the Fourth Proportional to 380.99, 525.84 and 233.77

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Solution

The fourth proportional to 380.99, 525.84 and 233.77 is: 322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.99 : 525.84 = 233.77 : x
  2. Step 2: Convert to fraction form
    380.99/525.84 = 233.77/x
  3. Step 3: Cross multiply
    380.99x = 525.84 × 233.77
  4. Step 4: Simplify right side
    380.99x = 122,925.73
  5. Step 5: Solve for x
    x = 122,925.73/380.99
  6. Step 6: Final answer
    x = 322.65

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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.