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Finding the Fourth Proportional to 477, 715.23 and 213.51

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Solution

The fourth proportional to 477, 715.23 and 213.51 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    477 : 715.23 = 213.51 : x
  2. Step 2: Convert to fraction form
    477/715.23 = 213.51/x
  3. Step 3: Cross multiply
    477x = 715.23 × 213.51
  4. Step 4: Simplify right side
    477x = 152,708.76
  5. Step 5: Solve for x
    x = 152,708.76/477
  6. Step 6: Final answer
    x = 320.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.