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Finding the Fourth Proportional to 473.32, 652.68 and 307.24

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Solution

The fourth proportional to 473.32, 652.68 and 307.24 is: 423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.32 : 652.68 = 307.24 : x
  2. Step 2: Convert to fraction form
    473.32/652.68 = 307.24/x
  3. Step 3: Cross multiply
    473.32x = 652.68 × 307.24
  4. Step 4: Simplify right side
    473.32x = 200,529.40
  5. Step 5: Solve for x
    x = 200,529.40/473.32
  6. Step 6: Final answer
    x = 423.67

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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.