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Finding the Fourth Proportional to 475.21, 712.21 and 214.93

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Solution

The fourth proportional to 475.21, 712.21 and 214.93 is: 322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.21 : 712.21 = 214.93 : x
  2. Step 2: Convert to fraction form
    475.21/712.21 = 214.93/x
  3. Step 3: Cross multiply
    475.21x = 712.21 × 214.93
  4. Step 4: Simplify right side
    475.21x = 153,075.30
  5. Step 5: Solve for x
    x = 153,075.30/475.21
  6. Step 6: Final answer
    x = 322.12

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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.