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Finding the Fourth Proportional to 551.32, 760.78 and 302.64

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Solution

The fourth proportional to 551.32, 760.78 and 302.64 is: 417.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.32 : 760.78 = 302.64 : x
  2. Step 2: Convert to fraction form
    551.32/760.78 = 302.64/x
  3. Step 3: Cross multiply
    551.32x = 760.78 × 302.64
  4. Step 4: Simplify right side
    551.32x = 230,242.65
  5. Step 5: Solve for x
    x = 230,242.65/551.32
  6. Step 6: Final answer
    x = 417.62

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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.