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Finding the Fourth Proportional to 504.64, 756.42 and 216.10

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Solution

The fourth proportional to 504.64, 756.42 and 216.10 is: 323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.64 : 756.42 = 216.10 : x
  2. Step 2: Convert to fraction form
    504.64/756.42 = 216.10/x
  3. Step 3: Cross multiply
    504.64x = 756.42 × 216.10
  4. Step 4: Simplify right side
    504.64x = 163,462.36
  5. Step 5: Solve for x
    x = 163,462.36/504.64
  6. Step 6: Final answer
    x = 323.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.