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Finding the Fourth Proportional to 310.88, 431.99 and 307.51

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Solution

The fourth proportional to 310.88, 431.99 and 307.51 is: 427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.88 : 431.99 = 307.51 : x
  2. Step 2: Convert to fraction form
    310.88/431.99 = 307.51/x
  3. Step 3: Cross multiply
    310.88x = 431.99 × 307.51
  4. Step 4: Simplify right side
    310.88x = 132,841.24
  5. Step 5: Solve for x
    x = 132,841.24/310.88
  6. Step 6: Final answer
    x = 427.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.