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Finding the Fourth Proportional to 261.04, 390.48 and 199.48

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Solution

The fourth proportional to 261.04, 390.48 and 199.48 is: 298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.04 : 390.48 = 199.48 : x
  2. Step 2: Convert to fraction form
    261.04/390.48 = 199.48/x
  3. Step 3: Cross multiply
    261.04x = 390.48 × 199.48
  4. Step 4: Simplify right side
    261.04x = 77,892.95
  5. Step 5: Solve for x
    x = 77,892.95/261.04
  6. Step 6: Final answer
    x = 298.39

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