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Finding the Fourth Proportional to 301, 415.60 and 235.38

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Solution

The fourth proportional to 301, 415.60 and 235.38 is: 325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301 : 415.60 = 235.38 : x
  2. Step 2: Convert to fraction form
    301/415.60 = 235.38/x
  3. Step 3: Cross multiply
    301x = 415.60 × 235.38
  4. Step 4: Simplify right side
    301x = 97,823.93
  5. Step 5: Solve for x
    x = 97,823.93/301
  6. Step 6: Final answer
    x = 325.00

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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.