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Finding the Fourth Proportional to 462.06, 636.86 and 368.48

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Solution

The fourth proportional to 462.06, 636.86 and 368.48 is: 507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.06 : 636.86 = 368.48 : x
  2. Step 2: Convert to fraction form
    462.06/636.86 = 368.48/x
  3. Step 3: Cross multiply
    462.06x = 636.86 × 368.48
  4. Step 4: Simplify right side
    462.06x = 234,670.17
  5. Step 5: Solve for x
    x = 234,670.17/462.06
  6. Step 6: Final answer
    x = 507.88

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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.