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Finding the Fourth Proportional to 386.34, 578.76 and 366.66

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Solution

The fourth proportional to 386.34, 578.76 and 366.66 is: 549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.34 : 578.76 = 366.66 : x
  2. Step 2: Convert to fraction form
    386.34/578.76 = 366.66/x
  3. Step 3: Cross multiply
    386.34x = 578.76 × 366.66
  4. Step 4: Simplify right side
    386.34x = 212,208.14
  5. Step 5: Solve for x
    x = 212,208.14/386.34
  6. Step 6: Final answer
    x = 549.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.