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Finding the Fourth Proportional to 347.95, 480 and 230.13

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Solution

The fourth proportional to 347.95, 480 and 230.13 is: 317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.95 : 480 = 230.13 : x
  2. Step 2: Convert to fraction form
    347.95/480 = 230.13/x
  3. Step 3: Cross multiply
    347.95x = 480 × 230.13
  4. Step 4: Simplify right side
    347.95x = 110,462.40
  5. Step 5: Solve for x
    x = 110,462.40/347.95
  6. Step 6: Final answer
    x = 317.47

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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.