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Finding the Fourth Proportional to 472.04, 651.16 and 361.36

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Solution

The fourth proportional to 472.04, 651.16 and 361.36 is: 498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.04 : 651.16 = 361.36 : x
  2. Step 2: Convert to fraction form
    472.04/651.16 = 361.36/x
  3. Step 3: Cross multiply
    472.04x = 651.16 × 361.36
  4. Step 4: Simplify right side
    472.04x = 235,303.18
  5. Step 5: Solve for x
    x = 235,303.18/472.04
  6. Step 6: Final answer
    x = 498.48

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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.