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Finding the Fourth Proportional to 401.07, 554.07 and 380.55

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Solution

The fourth proportional to 401.07, 554.07 and 380.55 is: 525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.07 : 554.07 = 380.55 : x
  2. Step 2: Convert to fraction form
    401.07/554.07 = 380.55/x
  3. Step 3: Cross multiply
    401.07x = 554.07 × 380.55
  4. Step 4: Simplify right side
    401.07x = 210,851.34
  5. Step 5: Solve for x
    x = 210,851.34/401.07
  6. Step 6: Final answer
    x = 525.72

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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.