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Finding the Fourth Proportional to 312.40, 464.90 and 309.16

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Solution

The fourth proportional to 312.40, 464.90 and 309.16 is: 460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.40 : 464.90 = 309.16 : x
  2. Step 2: Convert to fraction form
    312.40/464.90 = 309.16/x
  3. Step 3: Cross multiply
    312.40x = 464.90 × 309.16
  4. Step 4: Simplify right side
    312.40x = 143,728.48
  5. Step 5: Solve for x
    x = 143,728.48/312.40
  6. Step 6: Final answer
    x = 460.08

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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.