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Finding the Fourth Proportional to 368.28, 507.78 and 301.64

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Solution

The fourth proportional to 368.28, 507.78 and 301.64 is: 415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.28 : 507.78 = 301.64 : x
  2. Step 2: Convert to fraction form
    368.28/507.78 = 301.64/x
  3. Step 3: Cross multiply
    368.28x = 507.78 × 301.64
  4. Step 4: Simplify right side
    368.28x = 153,166.76
  5. Step 5: Solve for x
    x = 153,166.76/368.28
  6. Step 6: Final answer
    x = 415.90

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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.