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Finding the Fourth Proportional to 472.21, 651.64 and 265.21

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Solution

The fourth proportional to 472.21, 651.64 and 265.21 is: 365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.21 : 651.64 = 265.21 : x
  2. Step 2: Convert to fraction form
    472.21/651.64 = 265.21/x
  3. Step 3: Cross multiply
    472.21x = 651.64 × 265.21
  4. Step 4: Simplify right side
    472.21x = 172,818.19
  5. Step 5: Solve for x
    x = 172,818.19/472.21
  6. Step 6: Final answer
    x = 365.98

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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.