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Finding the Fourth Proportional to 507.47, 760.66 and 214.91

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Solution

The fourth proportional to 507.47, 760.66 and 214.91 is: 322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.47 : 760.66 = 214.91 : x
  2. Step 2: Convert to fraction form
    507.47/760.66 = 214.91/x
  3. Step 3: Cross multiply
    507.47x = 760.66 × 214.91
  4. Step 4: Simplify right side
    507.47x = 163,469.10
  5. Step 5: Solve for x
    x = 163,469.10/507.47
  6. Step 6: Final answer
    x = 322.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.