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Finding the Fourth Proportional to 472.51, 651.99 and 262.68

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Solution

The fourth proportional to 472.51, 651.99 and 262.68 is: 362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.51 : 651.99 = 262.68 : x
  2. Step 2: Convert to fraction form
    472.51/651.99 = 262.68/x
  3. Step 3: Cross multiply
    472.51x = 651.99 × 262.68
  4. Step 4: Simplify right side
    472.51x = 171,263.42
  5. Step 5: Solve for x
    x = 171,263.42/472.51
  6. Step 6: Final answer
    x = 362.45

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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.