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Finding the Fourth Proportional to 522.03, 720.20 and 312.21

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Solution

The fourth proportional to 522.03, 720.20 and 312.21 is: 430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.03 : 720.20 = 312.21 : x
  2. Step 2: Convert to fraction form
    522.03/720.20 = 312.21/x
  3. Step 3: Cross multiply
    522.03x = 720.20 × 312.21
  4. Step 4: Simplify right side
    522.03x = 224,852.08
  5. Step 5: Solve for x
    x = 224,852.08/522.03
  6. Step 6: Final answer
    x = 430.73

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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.