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Finding the Fourth Proportional to 830.51, 1,245.77 and 214.21

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Solution

The fourth proportional to 830.51, 1,245.77 and 214.21 is: 321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.51 : 1,245.77 = 214.21 : x
  2. Step 2: Convert to fraction form
    830.51/1,245.77 = 214.21/x
  3. Step 3: Cross multiply
    830.51x = 1,245.77 × 214.21
  4. Step 4: Simplify right side
    830.51x = 266,853.81
  5. Step 5: Solve for x
    x = 266,853.81/830.51
  6. Step 6: Final answer
    x = 321.32

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1.5x scale

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.