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Finding the Fourth Proportional to 421.01, 581.07 and 316.63

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Solution

The fourth proportional to 421.01, 581.07 and 316.63 is: 437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.01 : 581.07 = 316.63 : x
  2. Step 2: Convert to fraction form
    421.01/581.07 = 316.63/x
  3. Step 3: Cross multiply
    421.01x = 581.07 × 316.63
  4. Step 4: Simplify right side
    421.01x = 183,982.84
  5. Step 5: Solve for x
    x = 183,982.84/421.01
  6. Step 6: Final answer
    x = 437.00

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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.