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Finding the Fourth Proportional to 380.19, 567.66 and 311.55

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Solution

The fourth proportional to 380.19, 567.66 and 311.55 is: 465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.19 : 567.66 = 311.55 : x
  2. Step 2: Convert to fraction form
    380.19/567.66 = 311.55/x
  3. Step 3: Cross multiply
    380.19x = 567.66 × 311.55
  4. Step 4: Simplify right side
    380.19x = 176,851.76
  5. Step 5: Solve for x
    x = 176,851.76/380.19
  6. Step 6: Final answer
    x = 465.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.