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Finding the Fourth Proportional to 370.12, 509.69 and 362.37

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Solution

The fourth proportional to 370.12, 509.69 and 362.37 is: 499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.12 : 509.69 = 362.37 : x
  2. Step 2: Convert to fraction form
    370.12/509.69 = 362.37/x
  3. Step 3: Cross multiply
    370.12x = 509.69 × 362.37
  4. Step 4: Simplify right side
    370.12x = 184,699.18
  5. Step 5: Solve for x
    x = 184,699.18/370.12
  6. Step 6: Final answer
    x = 499.03

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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.