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Finding the Fourth Proportional to 336.22, 465.15 and 277.90

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Solution

The fourth proportional to 336.22, 465.15 and 277.90 is: 384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.22 : 465.15 = 277.90 : x
  2. Step 2: Convert to fraction form
    336.22/465.15 = 277.90/x
  3. Step 3: Cross multiply
    336.22x = 465.15 × 277.90
  4. Step 4: Simplify right side
    336.22x = 129,265.19
  5. Step 5: Solve for x
    x = 129,265.19/336.22
  6. Step 6: Final answer
    x = 384.47

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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.