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Finding the Fourth Proportional to 472.72, 652.30 and 262.86

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Solution

The fourth proportional to 472.72, 652.30 and 262.86 is: 362.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.72 : 652.30 = 262.86 : x
  2. Step 2: Convert to fraction form
    472.72/652.30 = 262.86/x
  3. Step 3: Cross multiply
    472.72x = 652.30 × 262.86
  4. Step 4: Simplify right side
    472.72x = 171,465.87
  5. Step 5: Solve for x
    x = 171,465.87/472.72
  6. Step 6: Final answer
    x = 362.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.