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Finding the Fourth Proportional to 421.51, 631.95 and 291.14

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Solution

The fourth proportional to 421.51, 631.95 and 291.14 is: 436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.51 : 631.95 = 291.14 : x
  2. Step 2: Convert to fraction form
    421.51/631.95 = 291.14/x
  3. Step 3: Cross multiply
    421.51x = 631.95 × 291.14
  4. Step 4: Simplify right side
    421.51x = 183,985.92
  5. Step 5: Solve for x
    x = 183,985.92/421.51
  6. Step 6: Final answer
    x = 436.49

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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.