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Finding the Fourth Proportional to 450.48, 620.76 and 312.24

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Solution

The fourth proportional to 450.48, 620.76 and 312.24 is: 430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.48 : 620.76 = 312.24 : x
  2. Step 2: Convert to fraction form
    450.48/620.76 = 312.24/x
  3. Step 3: Cross multiply
    450.48x = 620.76 × 312.24
  4. Step 4: Simplify right side
    450.48x = 193,826.10
  5. Step 5: Solve for x
    x = 193,826.10/450.48
  6. Step 6: Final answer
    x = 430.27

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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.