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Finding the Fourth Proportional to 364.80, 501.82 and 305.76

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Solution

The fourth proportional to 364.80, 501.82 and 305.76 is: 420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.80 : 501.82 = 305.76 : x
  2. Step 2: Convert to fraction form
    364.80/501.82 = 305.76/x
  3. Step 3: Cross multiply
    364.80x = 501.82 × 305.76
  4. Step 4: Simplify right side
    364.80x = 153,436.48
  5. Step 5: Solve for x
    x = 153,436.48/364.80
  6. Step 6: Final answer
    x = 420.60

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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.