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Finding the Fourth Proportional to 367.42, 507.08 and 210.07

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Solution

The fourth proportional to 367.42, 507.08 and 210.07 is: 289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.42 : 507.08 = 210.07 : x
  2. Step 2: Convert to fraction form
    367.42/507.08 = 210.07/x
  3. Step 3: Cross multiply
    367.42x = 507.08 × 210.07
  4. Step 4: Simplify right side
    367.42x = 106,523.87
  5. Step 5: Solve for x
    x = 106,523.87/367.42
  6. Step 6: Final answer
    x = 289.92

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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.