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Finding the Fourth Proportional to 442.01, 610.09 and 302.19

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Solution

The fourth proportional to 442.01, 610.09 and 302.19 is: 417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.01 : 610.09 = 302.19 : x
  2. Step 2: Convert to fraction form
    442.01/610.09 = 302.19/x
  3. Step 3: Cross multiply
    442.01x = 610.09 × 302.19
  4. Step 4: Simplify right side
    442.01x = 184,363.10
  5. Step 5: Solve for x
    x = 184,363.10/442.01
  6. Step 6: Final answer
    x = 417.10

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Double scale
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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.