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Finding the Fourth Proportional to 380.16, 567.54 and 366.66

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Solution

The fourth proportional to 380.16, 567.54 and 366.66 is: 547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.16 : 567.54 = 366.66 : x
  2. Step 2: Convert to fraction form
    380.16/567.54 = 366.66/x
  3. Step 3: Cross multiply
    380.16x = 567.54 × 366.66
  4. Step 4: Simplify right side
    380.16x = 208,094.22
  5. Step 5: Solve for x
    x = 208,094.22/380.16
  6. Step 6: Final answer
    x = 547.39

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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.