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Finding the Fourth Proportional to 421.16, 632.18 and 312.60

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Solution

The fourth proportional to 421.16, 632.18 and 312.60 is: 469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.16 : 632.18 = 312.60 : x
  2. Step 2: Convert to fraction form
    421.16/632.18 = 312.60/x
  3. Step 3: Cross multiply
    421.16x = 632.18 × 312.60
  4. Step 4: Simplify right side
    421.16x = 197,619.47
  5. Step 5: Solve for x
    x = 197,619.47/421.16
  6. Step 6: Final answer
    x = 469.23

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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.