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Finding the Fourth Proportional to 472.16, 707.40 and 215.12

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Solution

The fourth proportional to 472.16, 707.40 and 215.12 is: 322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.16 : 707.40 = 215.12 : x
  2. Step 2: Convert to fraction form
    472.16/707.40 = 215.12/x
  3. Step 3: Cross multiply
    472.16x = 707.40 × 215.12
  4. Step 4: Simplify right side
    472.16x = 152,175.89
  5. Step 5: Solve for x
    x = 152,175.89/472.16
  6. Step 6: Final answer
    x = 322.30

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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.