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Finding the Fourth Proportional to 310.15, 427.84 and 210.57

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Solution

The fourth proportional to 310.15, 427.84 and 210.57 is: 290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.15 : 427.84 = 210.57 : x
  2. Step 2: Convert to fraction form
    310.15/427.84 = 210.57/x
  3. Step 3: Cross multiply
    310.15x = 427.84 × 210.57
  4. Step 4: Simplify right side
    310.15x = 90,090.27
  5. Step 5: Solve for x
    x = 90,090.27/310.15
  6. Step 6: Final answer
    x = 290.47

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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.