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Finding the Fourth Proportional to 341.15, 471 and 215.30

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Solution

The fourth proportional to 341.15, 471 and 215.30 is: 297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.15 : 471 = 215.30 : x
  2. Step 2: Convert to fraction form
    341.15/471 = 215.30/x
  3. Step 3: Cross multiply
    341.15x = 471 × 215.30
  4. Step 4: Simplify right side
    341.15x = 101,403.95
  5. Step 5: Solve for x
    x = 101,403.95/341.15
  6. Step 6: Final answer
    x = 297.25

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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.