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Finding the Fourth Proportional to 421.41, 632.69 and 291.10

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Solution

The fourth proportional to 421.41, 632.69 and 291.10 is: 437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.41 : 632.69 = 291.10 : x
  2. Step 2: Convert to fraction form
    421.41/632.69 = 291.10/x
  3. Step 3: Cross multiply
    421.41x = 632.69 × 291.10
  4. Step 4: Simplify right side
    421.41x = 184,176.06
  5. Step 5: Solve for x
    x = 184,176.06/421.41
  6. Step 6: Final answer
    x = 437.05

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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.