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Finding the Fourth Proportional to 364.95, 546.82 and 256.55

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Solution

The fourth proportional to 364.95, 546.82 and 256.55 is: 384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.95 : 546.82 = 256.55 : x
  2. Step 2: Convert to fraction form
    364.95/546.82 = 256.55/x
  3. Step 3: Cross multiply
    364.95x = 546.82 × 256.55
  4. Step 4: Simplify right side
    364.95x = 140,283.30
  5. Step 5: Solve for x
    x = 140,283.30/364.95
  6. Step 6: Final answer
    x = 384.39

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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.