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Finding the Fourth Proportional to 384.17, 575.40 and 275.63

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Solution

The fourth proportional to 384.17, 575.40 and 275.63 is: 412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.17 : 575.40 = 275.63 : x
  2. Step 2: Convert to fraction form
    384.17/575.40 = 275.63/x
  3. Step 3: Cross multiply
    384.17x = 575.40 × 275.63
  4. Step 4: Simplify right side
    384.17x = 158,597.50
  5. Step 5: Solve for x
    x = 158,597.50/384.17
  6. Step 6: Final answer
    x = 412.83

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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.