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Finding the Fourth Proportional to 501.21, 752.88 and 306.30

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Solution

The fourth proportional to 501.21, 752.88 and 306.30 is: 460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.21 : 752.88 = 306.30 : x
  2. Step 2: Convert to fraction form
    501.21/752.88 = 306.30/x
  3. Step 3: Cross multiply
    501.21x = 752.88 × 306.30
  4. Step 4: Simplify right side
    501.21x = 230,607.14
  5. Step 5: Solve for x
    x = 230,607.14/501.21
  6. Step 6: Final answer
    x = 460.10

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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.