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Finding the Fourth Proportional to 368.16, 507.74 and 280.96

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Solution

The fourth proportional to 368.16, 507.74 and 280.96 is: 387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.16 : 507.74 = 280.96 : x
  2. Step 2: Convert to fraction form
    368.16/507.74 = 280.96/x
  3. Step 3: Cross multiply
    368.16x = 507.74 × 280.96
  4. Step 4: Simplify right side
    368.16x = 142,654.63
  5. Step 5: Solve for x
    x = 142,654.63/368.16
  6. Step 6: Final answer
    x = 387.48

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Why These Related Problems?

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