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Finding the Fourth Proportional to 312.08, 464.90 and 302.51

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Solution

The fourth proportional to 312.08, 464.90 and 302.51 is: 450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.08 : 464.90 = 302.51 : x
  2. Step 2: Convert to fraction form
    312.08/464.90 = 302.51/x
  3. Step 3: Cross multiply
    312.08x = 464.90 × 302.51
  4. Step 4: Simplify right side
    312.08x = 140,636.55
  5. Step 5: Solve for x
    x = 140,636.55/312.08
  6. Step 6: Final answer
    x = 450.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.