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Finding the Fourth Proportional to 464.04, 640.40 and 306.77

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Solution

The fourth proportional to 464.04, 640.40 and 306.77 is: 423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.04 : 640.40 = 306.77 : x
  2. Step 2: Convert to fraction form
    464.04/640.40 = 306.77/x
  3. Step 3: Cross multiply
    464.04x = 640.40 × 306.77
  4. Step 4: Simplify right side
    464.04x = 196,450.77
  5. Step 5: Solve for x
    x = 196,450.77/464.04
  6. Step 6: Final answer
    x = 423.35

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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.