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Finding the Fourth Proportional to 340.17, 469.58 and 305.16

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Solution

The fourth proportional to 340.17, 469.58 and 305.16 is: 421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.17 : 469.58 = 305.16 : x
  2. Step 2: Convert to fraction form
    340.17/469.58 = 305.16/x
  3. Step 3: Cross multiply
    340.17x = 469.58 × 305.16
  4. Step 4: Simplify right side
    340.17x = 143,295.51
  5. Step 5: Solve for x
    x = 143,295.51/340.17
  6. Step 6: Final answer
    x = 421.25

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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.