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Finding the Fourth Proportional to 472.90, 652.36 and 307.26

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Solution

The fourth proportional to 472.90, 652.36 and 307.26 is: 423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.90 : 652.36 = 307.26 : x
  2. Step 2: Convert to fraction form
    472.90/652.36 = 307.26/x
  3. Step 3: Cross multiply
    472.90x = 652.36 × 307.26
  4. Step 4: Simplify right side
    472.90x = 200,444.13
  5. Step 5: Solve for x
    x = 200,444.13/472.90
  6. Step 6: Final answer
    x = 423.86

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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.