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Finding the Fourth Proportional to 367.70, 507.40 and 210.38

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Solution

The fourth proportional to 367.70, 507.40 and 210.38 is: 290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.70 : 507.40 = 210.38 : x
  2. Step 2: Convert to fraction form
    367.70/507.40 = 210.38/x
  3. Step 3: Cross multiply
    367.70x = 507.40 × 210.38
  4. Step 4: Simplify right side
    367.70x = 106,746.81
  5. Step 5: Solve for x
    x = 106,746.81/367.70
  6. Step 6: Final answer
    x = 290.31

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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.