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Finding the Fourth Proportional to 313.94, 433.13 and 215.53

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Solution

The fourth proportional to 313.94, 433.13 and 215.53 is: 297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.94 : 433.13 = 215.53 : x
  2. Step 2: Convert to fraction form
    313.94/433.13 = 215.53/x
  3. Step 3: Cross multiply
    313.94x = 433.13 × 215.53
  4. Step 4: Simplify right side
    313.94x = 93,352.51
  5. Step 5: Solve for x
    x = 93,352.51/313.94
  6. Step 6: Final answer
    x = 297.36

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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.