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Finding the Fourth Proportional to 373.90, 515.64 and 280.54

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Solution

The fourth proportional to 373.90, 515.64 and 280.54 is: 386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.90 : 515.64 = 280.54 : x
  2. Step 2: Convert to fraction form
    373.90/515.64 = 280.54/x
  3. Step 3: Cross multiply
    373.90x = 515.64 × 280.54
  4. Step 4: Simplify right side
    373.90x = 144,657.65
  5. Step 5: Solve for x
    x = 144,657.65/373.90
  6. Step 6: Final answer
    x = 386.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.