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Finding the Fourth Proportional to 334.07, 503.60 and 311.77

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Solution

The fourth proportional to 334.07, 503.60 and 311.77 is: 469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.07 : 503.60 = 311.77 : x
  2. Step 2: Convert to fraction form
    334.07/503.60 = 311.77/x
  3. Step 3: Cross multiply
    334.07x = 503.60 × 311.77
  4. Step 4: Simplify right side
    334.07x = 157,007.37
  5. Step 5: Solve for x
    x = 157,007.37/334.07
  6. Step 6: Final answer
    x = 469.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.