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Finding the Fourth Proportional to 442.02, 610.08 and 302.42

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Solution

The fourth proportional to 442.02, 610.08 and 302.42 is: 417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.02 : 610.08 = 302.42 : x
  2. Step 2: Convert to fraction form
    442.02/610.08 = 302.42/x
  3. Step 3: Cross multiply
    442.02x = 610.08 × 302.42
  4. Step 4: Simplify right side
    442.02x = 184,500.39
  5. Step 5: Solve for x
    x = 184,500.39/442.02
  6. Step 6: Final answer
    x = 417.40

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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.