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Finding the Fourth Proportional to 436.80, 602.77 and 312.67

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Solution

The fourth proportional to 436.80, 602.77 and 312.67 is: 431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.80 : 602.77 = 312.67 : x
  2. Step 2: Convert to fraction form
    436.80/602.77 = 312.67/x
  3. Step 3: Cross multiply
    436.80x = 602.77 × 312.67
  4. Step 4: Simplify right side
    436.80x = 188,468.10
  5. Step 5: Solve for x
    x = 188,468.10/436.80
  6. Step 6: Final answer
    x = 431.47

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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.