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Finding the Fourth Proportional to 430.22, 643.74 and 256.98

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Solution

The fourth proportional to 430.22, 643.74 and 256.98 is: 384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.22 : 643.74 = 256.98 : x
  2. Step 2: Convert to fraction form
    430.22/643.74 = 256.98/x
  3. Step 3: Cross multiply
    430.22x = 643.74 × 256.98
  4. Step 4: Simplify right side
    430.22x = 165,427.91
  5. Step 5: Solve for x
    x = 165,427.91/430.22
  6. Step 6: Final answer
    x = 384.52

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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.