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Finding the Fourth Proportional to 450, 621 and 312.08

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Solution

The fourth proportional to 450, 621 and 312.08 is: 430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 621 = 312.08 : x
  2. Step 2: Convert to fraction form
    450/621 = 312.08/x
  3. Step 3: Cross multiply
    450x = 621 × 312.08
  4. Step 4: Simplify right side
    450x = 193,801.68
  5. Step 5: Solve for x
    x = 193,801.68/450
  6. Step 6: Final answer
    x = 430.67

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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.