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Finding the Fourth Proportional to 386.39, 578.56 and 264.89

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Solution

The fourth proportional to 386.39, 578.56 and 264.89 is: 396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.39 : 578.56 = 264.89 : x
  2. Step 2: Convert to fraction form
    386.39/578.56 = 264.89/x
  3. Step 3: Cross multiply
    386.39x = 578.56 × 264.89
  4. Step 4: Simplify right side
    386.39x = 153,254.76
  5. Step 5: Solve for x
    x = 153,254.76/386.39
  6. Step 6: Final answer
    x = 396.63

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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.