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Finding the Fourth Proportional to 368.02, 507.86 and 237.11

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Solution

The fourth proportional to 368.02, 507.86 and 237.11 is: 327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.02 : 507.86 = 237.11 : x
  2. Step 2: Convert to fraction form
    368.02/507.86 = 237.11/x
  3. Step 3: Cross multiply
    368.02x = 507.86 × 237.11
  4. Step 4: Simplify right side
    368.02x = 120,415.85
  5. Step 5: Solve for x
    x = 120,415.85/368.02
  6. Step 6: Final answer
    x = 327.20

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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.