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Finding the Fourth Proportional to 368.07, 507.65 and 235.33

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Solution

The fourth proportional to 368.07, 507.65 and 235.33 is: 324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.07 : 507.65 = 235.33 : x
  2. Step 2: Convert to fraction form
    368.07/507.65 = 235.33/x
  3. Step 3: Cross multiply
    368.07x = 507.65 × 235.33
  4. Step 4: Simplify right side
    368.07x = 119,465.27
  5. Step 5: Solve for x
    x = 119,465.27/368.07
  6. Step 6: Final answer
    x = 324.57

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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.