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Finding the Fourth Proportional to 421.12, 580.24 and 302.72

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Solution

The fourth proportional to 421.12, 580.24 and 302.72 is: 417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.12 : 580.24 = 302.72 : x
  2. Step 2: Convert to fraction form
    421.12/580.24 = 302.72/x
  3. Step 3: Cross multiply
    421.12x = 580.24 × 302.72
  4. Step 4: Simplify right side
    421.12x = 175,647.35
  5. Step 5: Solve for x
    x = 175,647.35/421.12
  6. Step 6: Final answer
    x = 417.10

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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.