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Finding the Fourth Proportional to 436.76, 601.88 and 305.54

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Solution

The fourth proportional to 436.76, 601.88 and 305.54 is: 421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.76 : 601.88 = 305.54 : x
  2. Step 2: Convert to fraction form
    436.76/601.88 = 305.54/x
  3. Step 3: Cross multiply
    436.76x = 601.88 × 305.54
  4. Step 4: Simplify right side
    436.76x = 183,898.42
  5. Step 5: Solve for x
    x = 183,898.42/436.76
  6. Step 6: Final answer
    x = 421.05

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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.