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Finding the Fourth Proportional to 436.76, 602.88 and 312.49

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Solution

The fourth proportional to 436.76, 602.88 and 312.49 is: 431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.76 : 602.88 = 312.49 : x
  2. Step 2: Convert to fraction form
    436.76/602.88 = 312.49/x
  3. Step 3: Cross multiply
    436.76x = 602.88 × 312.49
  4. Step 4: Simplify right side
    436.76x = 188,393.55
  5. Step 5: Solve for x
    x = 188,393.55/436.76
  6. Step 6: Final answer
    x = 431.34

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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.