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Finding the Fourth Proportional to 354.95, 530.04 and 290.08

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Solution

The fourth proportional to 354.95, 530.04 and 290.08 is: 433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.95 : 530.04 = 290.08 : x
  2. Step 2: Convert to fraction form
    354.95/530.04 = 290.08/x
  3. Step 3: Cross multiply
    354.95x = 530.04 × 290.08
  4. Step 4: Simplify right side
    354.95x = 153,753.31
  5. Step 5: Solve for x
    x = 153,753.31/354.95
  6. Step 6: Final answer
    x = 433.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.